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Finding the Fourth Proportional to 2,117.52, 3,176.76 and 656.56

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Solution

The fourth proportional to 2,117.52, 3,176.76 and 656.56 is: 984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.52 : 3,176.76 = 656.56 : x
  2. Step 2: Convert to fraction form
    2,117.52/3,176.76 = 656.56/x
  3. Step 3: Cross multiply
    2,117.52x = 3,176.76 × 656.56
  4. Step 4: Simplify right side
    2,117.52x = 2,085,733.55
  5. Step 5: Solve for x
    x = 2,085,733.55/2,117.52
  6. Step 6: Final answer
    x = 984.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.